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int frac pi 2 - frac pi 2 cosx dx - JAMB Mathematics 2008 Question

(\int ^{\frac{\pi}{2}}_{-\frac{\pi}{2}})cosx dx

A
7
B
1
C
2
D
3
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Correct Option: B

(\int ^{\frac{\pi}{2}}_{-\frac{\pi}{2}})cosx

([sin x]^{\frac{\pi}{2}}_{\frac{\pi}{2}})

= sin(\frac{\pi}{2})- (-sin (\frac{\pi}{2}))

= sin (\frac{\pi}{2}) + sin (\frac{\pi}{2})

= 2 sin (\frac{\pi}{2})

= 2 sin 1.5714

= 2(0.2704)

= 0.5

= 1

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